SOLUTION: if the length of one side of a square is doubled and the length of an adjacent side is decreased by 3, the area of the resulting rectangle exceeds the area of the original square b
Algebra.Com
Question 570236: if the length of one side of a square is doubled and the length of an adjacent side is decreased by 3, the area of the resulting rectangle exceeds the area of the original square by 16. The length of a side of the original square is?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
if the length of one side of a square is doubled and the length of an adjacent side is decreased by 3,
the area of the resulting rectangle exceeds the area of the original square by 16.
The length of a side of the original square is?
:
Let s = length of the side of the original square
then
s^2 = original area
:
and the new rectangle dimensions will be
2s by (s-3)
:
New area - old area = 16
2s(s-3) - s^2 = 16
2s^2 - 6s - s^2 = 16
2s^2 - s^2 - 6s - 16 = 0
s^2 - 6s - 16 = 0
Factors to
(s-8)(s+2) = 0
positive solution
s = 8 units, the length of the original square
:
:
Check this by finding the areas
16(8-3) = 80
8*8 = 64
-------------
differ; 16
RELATED QUESTIONS
If one side of a square is increased by 8 cm and an adjacent side is decreased by 2 cm, a (answered by jrfrunner)
if one side of a square is increased by 8 feet and an adjacent side is decreased by 2... (answered by jorel1380,htmentor)
If one side of a square is increased by 8 cm and an adjacent side decreased by 2 cm, a... (answered by J2R2R)
If one side of a square is increased by 8cm and an adjacent side decreased by 2cm, a... (answered by Earlsdon)
If one side of a square is increased by 8 cm and an adjacent side decreased by 2 cm a... (answered by mananth)
If one side of a square is increased by 8 feet and an adjacent side decreased by 2 feet,... (answered by ankor@dixie-net.com)
If one side of a square is doubled in length and the adjacent side is decreased by two... (answered by ankor@dixie-net.com)
If one side of a square is increased by 2 inches and an adjacent side is decreased by 2... (answered by checkley77)
If one side of a square is increased by 4 feet and an adjacent side is decreased by two... (answered by ankor@dixie-net.com)